On August 5, 1976, Davis was nominated by President
Gerald Ford, to a seat on the
United States District Court for the Western District of Louisiana vacated by Judge
Richard Johnson Putnam. Davis was confirmed by the
United States Senate on September 17, 1976, and received his commission on September 21, 1976. His service terminated on December 9, 1983, due to elevation to the Fifth Circuit. President
Ronald Reagan nominated Davis to the
United States Court of Appeals for the Fifth Circuit on November 1, 1983, to a seat vacated by Judge
Robert A. Ainsworth Jr., who died on December 22, 1981. Reagan at first considered Ben Toledano, a New Orleans lawyer and former Republican political candidate for the slot but withdrew the nomination after opposition surfaced from the
NAACP. Davis was again confirmed by the United States Senate on November 15, 1983, and received his commission the following day. He assumed
senior status on December 31, 2016. Judge Davis was appointed by Chief Justice
William Rehnquist as a member of the Advisory Committee on the
Federal Rules of Criminal Procedure on October 1, 1995. Davis became Chairman of this Committee on October 1, 1997 and served as Chairman until October 2001 when his term of service ended. In 2014, Judge Davis received the prestigious
American Inns of Court Professionalism Award for the Fifth Circuit at the American Inns of Court Celebration of Excellence held at the
Supreme Court of the United States. Judge Davis was inducted into the
Tulane Law School Hall of Fame in March 2015. In 2017, the Louisiana Bar Foundation awarded Davis its Distinguished Jurist Award. ==Notable cases==